Theorems · Theorem · group theory
GroupExtension.rightHom_inl
∀ {N : Type u_1} {E : Type u_2} {G : Type u_3} [inst : Group N] [inst_1 : Group E] [inst_2 : Group G]
(S : GroupExtension N E G) (n : N), S.rightHom (S.inl n) = 1- Defined in
- Mathlib.GroupTheory.GroupExtension.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupproof · cited by 3,593
- GroupExtensionstatement and proof · cited by 52
- GroupExtension.rightHomstatement · cited by 29
- GroupExtension.inlstatement and proof · cited by 22
- MonoidHom.mem_kerproof · cited by 22
- MonoidHom.mem_rangeproof · cited by 6
- GroupExtension.range_inl_eq_ker_rightHomproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- GroupExtension.rightHom_comp_inlproof · cited by 0